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Finding the Third Proportional to 100,800 and 214,848

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Solution

The third proportional to 100,800 and 214,848 is: 457,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,800 : 214,848 = 214,848 : x
  2. Step 2: Convert to fraction form
    100,800/214,848 = 214,848/x
  3. Step 3: Cross multiply
    100,800x = 214,848 × 214,848
  4. Step 4: Simplify right side
    100,800x = 46,159,663,104
  5. Step 5: Solve for x
    x = 46,159,663,104/100,800
  6. Step 6: Final answer
    x = 457,933.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.